Unlike the scaling law for \(R(t)\) , direct experimental determination of the scaling functions for density, temperature, velocity and pressure is limited to measurement of the density profile for one single time (see Fig. 1 of [1]} and inset of Fig. 5 of [2]}). However, these data are insufficient to make a meaningful comparison with the theoretical predictions for the scaling functions from the TvNS theory. In the absence of experimental data, molecular dynamics (MD) simulations of hard spheres can serve as a model platform for verifying the TvNS solution.
